Abstract
The effective behavior of a solid made from a periodic distribution of inclusions in a matrix is investigated. Inclusions and matrix are linearly elastic or viscoelastic of Kelvin-Voigt type (and possibly rigid for the inclusions) while the link between them can be pure adhesion or viscous friction with bilateral contact or involve a very thin viscoelastic layer. As long as one constituent is viscoelastic, the effective behavior is no longer of Kelvin-Voigt type but with memory.
| Original language | English |
|---|---|
| Pages (from-to) | 249-265 |
| Number of pages | 17 |
| Journal | Asymptotic Analysis |
| Volume | 90 |
| Issue number | 3-4 |
| DOIs | |
| Publication status | Published - 2014 |
| Externally published | Yes |
Keywords
- Kelvin-Voigt viscoelasticity
- Laplace transform
- homogenization
- integro-differential equations
- interface effects
- semi-groups of operators
- viscoelasticity with memory
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